STABILITY ANALYSIS OF KIPPENHAHN-SCHLUTER MODEL OF SOLAR FILAMENTS

被引：58

作者：

ANZER, U

机构：

[1] High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colo.

来源：

SOLAR PHYSICS | 1969年 / 8卷 / 01期

关键词：

D O I：

10.1007/BF00150656

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper the stability of the Kippenhahn-Schlüter model of solar filaments against arbitrary perturbations is investigated. The problem is treated in the MHD approximation and a modification of the energy principle of Bernstein et al. is used. Two necessary and sufficient stability conditions are found: (a) [Bz] d Bx/d z ≧ 0 and (b) Bx d[Bz]/d z ≦ 0. Condition (a), in the limit of small currents, leads to the condition already discussed by Kippenhahn and Schlüter; condition (b) requires that the current density in the stable filament decreases with height. © 1969 D. Reidel Publishing Company.

引用

页码：37 / &

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